Saturday, 8 February 2014

PERFECT SQUARES B3

If zx2 + 12x + 9 = 0 is a perfect square, find the value of z .

Solution

In zx2 + 12x + 9 = 0;   a=z, b=(12) and c=9.


For the perfect square, b2 = 4ac


(12)2 = 4 x z x 9


144 = 36z


14436z
 36      36

4 = z



Hence the value of z is 4


TRY THIS........


If Tx2 + 24x + 16 = 0 is a perfect square, find the value of  T .

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